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Finding the Third Proportional to 228,047,272 and 497,895,701

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Solution

The third proportional to 228,047,272 and 497,895,701 is: 1,087,055,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047,272 : 497,895,701 = 497,895,701 : x
  2. Step 2: Convert to fraction form
    228,047,272/497,895,701 = 497,895,701/x
  3. Step 3: Cross multiply
    228,047,272x = 497,895,701 × 497,895,701
  4. Step 4: Simplify right side
    228,047,272x = 247,900,129,074,281,408
  5. Step 5: Solve for x
    x = 247,900,129,074,281,408/228,047,272
  6. Step 6: Final answer
    x = 1,087,055,884.95

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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.