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Finding the Third Proportional to 142,044,164 and 306,464,776

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Solution

The third proportional to 142,044,164 and 306,464,776 is: 661,207,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044,164 : 306,464,776 = 306,464,776 : x
  2. Step 2: Convert to fraction form
    142,044,164/306,464,776 = 306,464,776/x
  3. Step 3: Cross multiply
    142,044,164x = 306,464,776 × 306,464,776
  4. Step 4: Simplify right side
    142,044,164x = 93,920,658,928,730,176
  5. Step 5: Solve for x
    x = 93,920,658,928,730,176/142,044,164
  6. Step 6: Final answer
    x = 661,207,446.22

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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.