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Finding the Third Proportional to 174,893,941.13 and 261,377,011.69

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Solution

The third proportional to 174,893,941.13 and 261,377,011.69 is: 390,624,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893,941.13 : 261,377,011.69 = 261,377,011.69 : x
  2. Step 2: Convert to fraction form
    174,893,941.13/261,377,011.69 = 261,377,011.69/x
  3. Step 3: Cross multiply
    174,893,941.13x = 261,377,011.69 × 261,377,011.69
  4. Step 4: Simplify right side
    174,893,941.13x = 68,317,942,238,687,512
  5. Step 5: Solve for x
    x = 68,317,942,238,687,512/174,893,941.13
  6. Step 6: Final answer
    x = 390,624,979.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.