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Finding the Third Proportional to 281,807,248 and 571,538,276

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Solution

The third proportional to 281,807,248 and 571,538,276 is: 1,159,146,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,807,248 : 571,538,276 = 571,538,276 : x
  2. Step 2: Convert to fraction form
    281,807,248/571,538,276 = 571,538,276/x
  3. Step 3: Cross multiply
    281,807,248x = 571,538,276 × 571,538,276
  4. Step 4: Simplify right side
    281,807,248x = 326,656,000,933,052,160
  5. Step 5: Solve for x
    x = 326,656,000,933,052,160/281,807,248
  6. Step 6: Final answer
    x = 1,159,146,910.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.