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Finding the Third Proportional to 230,877,397 and 357,796,397

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Solution

The third proportional to 230,877,397 and 357,796,397 is: 554,485,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877,397 : 357,796,397 = 357,796,397 : x
  2. Step 2: Convert to fraction form
    230,877,397/357,796,397 = 357,796,397/x
  3. Step 3: Cross multiply
    230,877,397x = 357,796,397 × 357,796,397
  4. Step 4: Simplify right side
    230,877,397x = 128,018,261,706,181,616
  5. Step 5: Solve for x
    x = 128,018,261,706,181,616/230,877,397
  6. Step 6: Final answer
    x = 554,485,901.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.