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Finding the Third Proportional to 146,754,684 and 319,877,658

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Solution

The third proportional to 146,754,684 and 319,877,658 is: 697,229,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,754,684 : 319,877,658 = 319,877,658 : x
  2. Step 2: Convert to fraction form
    146,754,684/319,877,658 = 319,877,658/x
  3. Step 3: Cross multiply
    146,754,684x = 319,877,658 × 319,877,658
  4. Step 4: Simplify right side
    146,754,684x = 102,321,716,087,564,960
  5. Step 5: Solve for x
    x = 102,321,716,087,564,960/146,754,684
  6. Step 6: Final answer
    x = 697,229,644.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.