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Finding the Third Proportional to 70,335,090 and 149,960,484

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Solution

The third proportional to 70,335,090 and 149,960,484 is: 319,728,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,335,090 : 149,960,484 = 149,960,484 : x
  2. Step 2: Convert to fraction form
    70,335,090/149,960,484 = 149,960,484/x
  3. Step 3: Cross multiply
    70,335,090x = 149,960,484 × 149,960,484
  4. Step 4: Simplify right side
    70,335,090x = 22,488,146,761,514,256
  5. Step 5: Solve for x
    x = 22,488,146,761,514,256/70,335,090
  6. Step 6: Final answer
    x = 319,728,698.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.