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Finding the Third Proportional to 229,943,363,654 and 503,234,421,304

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Solution

The third proportional to 229,943,363,654 and 503,234,421,304 is: 1,101,335,906,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,943,363,654 : 503,234,421,304 = 503,234,421,304 : x
  2. Step 2: Convert to fraction form
    229,943,363,654/503,234,421,304 = 503,234,421,304/x
  3. Step 3: Cross multiply
    229,943,363,654x = 503,234,421,304 × 503,234,421,304
  4. Step 4: Simplify right side
    229,943,363,654x = 253,244,882,785,171,773,849,600
  5. Step 5: Solve for x
    x = 253,244,882,785,171,773,849,600/229,943,363,654
  6. Step 6: Final answer
    x = 1,101,335,906,202.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.