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Finding the Third Proportional to 47,759,500.13 and 102,330,167.91

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Solution

The third proportional to 47,759,500.13 and 102,330,167.91 is: 219,254,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,500.13 : 102,330,167.91 = 102,330,167.91 : x
  2. Step 2: Convert to fraction form
    47,759,500.13/102,330,167.91 = 102,330,167.91/x
  3. Step 3: Cross multiply
    47,759,500.13x = 102,330,167.91 × 102,330,167.91
  4. Step 4: Simplify right side
    47,759,500.13x = 10,471,463,263,721,318
  5. Step 5: Solve for x
    x = 10,471,463,263,721,318/47,759,500.13
  6. Step 6: Final answer
    x = 219,254,038.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.