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Finding the Third Proportional to 156,752,199 and 247,150,332

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Solution

The third proportional to 156,752,199 and 247,150,332 is: 389,680,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,752,199 : 247,150,332 = 247,150,332 : x
  2. Step 2: Convert to fraction form
    156,752,199/247,150,332 = 247,150,332/x
  3. Step 3: Cross multiply
    156,752,199x = 247,150,332 × 247,150,332
  4. Step 4: Simplify right side
    156,752,199x = 61,083,286,607,710,224
  5. Step 5: Solve for x
    x = 61,083,286,607,710,224/156,752,199
  6. Step 6: Final answer
    x = 389,680,572.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.