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Finding the Third Proportional to 70,952,724 and 152,980,422

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Solution

The third proportional to 70,952,724 and 152,980,422 is: 329,839,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952,724 : 152,980,422 = 152,980,422 : x
  2. Step 2: Convert to fraction form
    70,952,724/152,980,422 = 152,980,422/x
  3. Step 3: Cross multiply
    70,952,724x = 152,980,422 × 152,980,422
  4. Step 4: Simplify right side
    70,952,724x = 23,403,009,515,298,084
  5. Step 5: Solve for x
    x = 23,403,009,515,298,084/70,952,724
  6. Step 6: Final answer
    x = 329,839,478.96

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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.