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Finding the Third Proportional to 281,242,251 and 447,531,061.50

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Solution

The third proportional to 281,242,251 and 447,531,061.50 is: 712,140,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242,251 : 447,531,061.50 = 447,531,061.50 : x
  2. Step 2: Convert to fraction form
    281,242,251/447,531,061.50 = 447,531,061.50/x
  3. Step 3: Cross multiply
    281,242,251x = 447,531,061.50 × 447,531,061.50
  4. Step 4: Simplify right side
    281,242,251x = 200,284,051,007,316,768
  5. Step 5: Solve for x
    x = 200,284,051,007,316,768/281,242,251
  6. Step 6: Final answer
    x = 712,140,691.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.