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Finding the Third Proportional to 69,706,364 and 151,502,464

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Solution

The third proportional to 69,706,364 and 151,502,464 is: 329,281,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706,364 : 151,502,464 = 151,502,464 : x
  2. Step 2: Convert to fraction form
    69,706,364/151,502,464 = 151,502,464/x
  3. Step 3: Cross multiply
    69,706,364x = 151,502,464 × 151,502,464
  4. Step 4: Simplify right side
    69,706,364x = 22,952,996,598,071,296
  5. Step 5: Solve for x
    x = 22,952,996,598,071,296/69,706,364
  6. Step 6: Final answer
    x = 329,281,220.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.