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Finding the Third Proportional to 201,896,196 and 438,249,564

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Solution

The third proportional to 201,896,196 and 438,249,564 is: 951,294,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896,196 : 438,249,564 = 438,249,564 : x
  2. Step 2: Convert to fraction form
    201,896,196/438,249,564 = 438,249,564/x
  3. Step 3: Cross multiply
    201,896,196x = 438,249,564 × 438,249,564
  4. Step 4: Simplify right side
    201,896,196x = 192,062,680,346,190,080
  5. Step 5: Solve for x
    x = 192,062,680,346,190,080/201,896,196
  6. Step 6: Final answer
    x = 951,294,200.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.