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Finding the Third Proportional to 74,787,320.25 and 114,882,472.13

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Solution

The third proportional to 74,787,320.25 and 114,882,472.13 is: 176,473,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,787,320.25 : 114,882,472.13 = 114,882,472.13 : x
  2. Step 2: Convert to fraction form
    74,787,320.25/114,882,472.13 = 114,882,472.13/x
  3. Step 3: Cross multiply
    74,787,320.25x = 114,882,472.13 × 114,882,472.13
  4. Step 4: Simplify right side
    74,787,320.25x = 13,197,982,401,551,402
  5. Step 5: Solve for x
    x = 13,197,982,401,551,402/74,787,320.25
  6. Step 6: Final answer
    x = 176,473,529.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.