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Finding the Third Proportional to 153,404,853 and 328,347,836

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Solution

The third proportional to 153,404,853 and 328,347,836 is: 702,795,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,404,853 : 328,347,836 = 328,347,836 : x
  2. Step 2: Convert to fraction form
    153,404,853/328,347,836 = 328,347,836/x
  3. Step 3: Cross multiply
    153,404,853x = 328,347,836 × 328,347,836
  4. Step 4: Simplify right side
    153,404,853x = 107,812,301,405,882,896
  5. Step 5: Solve for x
    x = 107,812,301,405,882,896/153,404,853
  6. Step 6: Final answer
    x = 702,795,897.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.