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Finding the Third Proportional to 142,044,168 and 306,464,784

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Solution

The third proportional to 142,044,168 and 306,464,784 is: 661,207,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044,168 : 306,464,784 = 306,464,784 : x
  2. Step 2: Convert to fraction form
    142,044,168/306,464,784 = 306,464,784/x
  3. Step 3: Cross multiply
    142,044,168x = 306,464,784 × 306,464,784
  4. Step 4: Simplify right side
    142,044,168x = 93,920,663,832,166,656
  5. Step 5: Solve for x
    x = 93,920,663,832,166,656/142,044,168
  6. Step 6: Final answer
    x = 661,207,462.12

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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.