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Finding the Third Proportional to 201,896,164.13 and 438,249,495.38

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Solution

The third proportional to 201,896,164.13 and 438,249,495.38 is: 951,294,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,896,164.13 : 438,249,495.38 = 438,249,495.38 : x
  2. Step 2: Convert to fraction form
    201,896,164.13/438,249,495.38 = 438,249,495.38/x
  3. Step 3: Cross multiply
    201,896,164.13x = 438,249,495.38 × 438,249,495.38
  4. Step 4: Simplify right side
    201,896,164.13x = 192,062,620,196,442,144
  5. Step 5: Solve for x
    x = 192,062,620,196,442,144/201,896,164.13
  6. Step 6: Final answer
    x = 951,294,052.71

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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.