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Finding the Third Proportional to 198,842,217,201 and 436,181,311,813.52

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Solution

The third proportional to 198,842,217,201 and 436,181,311,813.52 is: 956,809,572,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,842,217,201 : 436,181,311,813.52 = 436,181,311,813.52 : x
  2. Step 2: Convert to fraction form
    198,842,217,201/436,181,311,813.52 = 436,181,311,813.52/x
  3. Step 3: Cross multiply
    198,842,217,201x = 436,181,311,813.52 × 436,181,311,813.52
  4. Step 4: Simplify right side
    198,842,217,201x = 190,254,136,775,363,174,334,464
  5. Step 5: Solve for x
    x = 190,254,136,775,363,174,334,464/198,842,217,201
  6. Step 6: Final answer
    x = 956,809,572,199.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.