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Finding the Third Proportional to 201,906,012,038.50 and 436,049,527,308.50

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Solution

The third proportional to 201,906,012,038.50 and 436,049,527,308.50 is: 941,721,290,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906,012,038.50 : 436,049,527,308.50 = 436,049,527,308.50 : x
  2. Step 2: Convert to fraction form
    201,906,012,038.50/436,049,527,308.50 = 436,049,527,308.50/x
  3. Step 3: Cross multiply
    201,906,012,038.50x = 436,049,527,308.50 × 436,049,527,308.50
  4. Step 4: Simplify right side
    201,906,012,038.50x = 190,139,190,265,966,296,563,712
  5. Step 5: Solve for x
    x = 190,139,190,265,966,296,563,712/201,906,012,038.50
  6. Step 6: Final answer
    x = 941,721,290,744.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.