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Finding the Third Proportional to 57,291,902 and 90,868,513

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Solution

The third proportional to 57,291,902 and 90,868,513 is: 144,123,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,291,902 : 90,868,513 = 90,868,513 : x
  2. Step 2: Convert to fraction form
    57,291,902/90,868,513 = 90,868,513/x
  3. Step 3: Cross multiply
    57,291,902x = 90,868,513 × 90,868,513
  4. Step 4: Simplify right side
    57,291,902x = 8,257,086,654,831,169
  5. Step 5: Solve for x
    x = 8,257,086,654,831,169/57,291,902
  6. Step 6: Final answer
    x = 144,123,102.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.