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Finding the Third Proportional to 187,912,470 and 287,484,597

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Solution

The third proportional to 187,912,470 and 287,484,597 is: 439,818,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,912,470 : 287,484,597 = 287,484,597 : x
  2. Step 2: Convert to fraction form
    187,912,470/287,484,597 = 287,484,597/x
  3. Step 3: Cross multiply
    187,912,470x = 287,484,597 × 287,484,597
  4. Step 4: Simplify right side
    187,912,470x = 82,647,393,512,252,416
  5. Step 5: Solve for x
    x = 82,647,393,512,252,416/187,912,470
  6. Step 6: Final answer
    x = 439,818,568.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.