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Finding the Third Proportional to 142,612,184 and 312,564,049

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Solution

The third proportional to 142,612,184 and 312,564,049 is: 685,048,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612,184 : 312,564,049 = 312,564,049 : x
  2. Step 2: Convert to fraction form
    142,612,184/312,564,049 = 312,564,049/x
  3. Step 3: Cross multiply
    142,612,184x = 312,564,049 × 312,564,049
  4. Step 4: Simplify right side
    142,612,184x = 97,696,284,727,274,400
  5. Step 5: Solve for x
    x = 97,696,284,727,274,400/142,612,184
  6. Step 6: Final answer
    x = 685,048,654.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.