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Finding the Third Proportional to 142,044,166 and 306,464,780

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Solution

The third proportional to 142,044,166 and 306,464,780 is: 661,207,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044,166 : 306,464,780 = 306,464,780 : x
  2. Step 2: Convert to fraction form
    142,044,166/306,464,780 = 306,464,780/x
  3. Step 3: Cross multiply
    142,044,166x = 306,464,780 × 306,464,780
  4. Step 4: Simplify right side
    142,044,166x = 93,920,661,380,448,400
  5. Step 5: Solve for x
    x = 93,920,661,380,448,400/142,044,166
  6. Step 6: Final answer
    x = 661,207,454.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.