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Finding the Third Proportional to 187,909,209 and 287,479,921.50

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Solution

The third proportional to 187,909,209 and 287,479,921.50 is: 439,811,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,909,209 : 287,479,921.50 = 287,479,921.50 : x
  2. Step 2: Convert to fraction form
    187,909,209/287,479,921.50 = 287,479,921.50/x
  3. Step 3: Cross multiply
    187,909,209x = 287,479,921.50 × 287,479,921.50
  4. Step 4: Simplify right side
    187,909,209x = 82,644,705,265,646,160
  5. Step 5: Solve for x
    x = 82,644,705,265,646,160/187,909,209
  6. Step 6: Final answer
    x = 439,811,894.83

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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.