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Finding the Third Proportional to 238,196,068 and 515,963,587

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Solution

The third proportional to 238,196,068 and 515,963,587 is: 1,117,644,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196,068 : 515,963,587 = 515,963,587 : x
  2. Step 2: Convert to fraction form
    238,196,068/515,963,587 = 515,963,587/x
  3. Step 3: Cross multiply
    238,196,068x = 515,963,587 × 515,963,587
  4. Step 4: Simplify right side
    238,196,068x = 266,218,423,109,906,560
  5. Step 5: Solve for x
    x = 266,218,423,109,906,560/238,196,068
  6. Step 6: Final answer
    x = 1,117,644,070.89

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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.