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Finding the Third Proportional to 102,011,487.96 and 221,342,554.76

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Solution

The third proportional to 102,011,487.96 and 221,342,554.76 is: 480,264,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011,487.96 : 221,342,554.76 = 221,342,554.76 : x
  2. Step 2: Convert to fraction form
    102,011,487.96/221,342,554.76 = 221,342,554.76/x
  3. Step 3: Cross multiply
    102,011,487.96x = 221,342,554.76 × 221,342,554.76
  4. Step 4: Simplify right side
    102,011,487.96x = 48,992,526,546,714,120
  5. Step 5: Solve for x
    x = 48,992,526,546,714,120/102,011,487.96
  6. Step 6: Final answer
    x = 480,264,796.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.