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Finding the Third Proportional to 107,310,063 and 232,447,423.50

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Solution

The third proportional to 107,310,063 and 232,447,423.50 is: 503,511,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,310,063 : 232,447,423.50 = 232,447,423.50 : x
  2. Step 2: Convert to fraction form
    107,310,063/232,447,423.50 = 232,447,423.50/x
  3. Step 3: Cross multiply
    107,310,063x = 232,447,423.50 × 232,447,423.50
  4. Step 4: Simplify right side
    107,310,063x = 54,031,804,691,788,352
  5. Step 5: Solve for x
    x = 54,031,804,691,788,352/107,310,063
  6. Step 6: Final answer
    x = 503,511,070.46

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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.