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Finding the Third Proportional to 47,759,468.06 and 102,330,097.03

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Solution

The third proportional to 47,759,468.06 and 102,330,097.03 is: 219,253,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,468.06 : 102,330,097.03 = 102,330,097.03 : x
  2. Step 2: Convert to fraction form
    47,759,468.06/102,330,097.03 = 102,330,097.03/x
  3. Step 3: Cross multiply
    47,759,468.06x = 102,330,097.03 × 102,330,097.03
  4. Step 4: Simplify right side
    47,759,468.06x = 10,471,448,758,425,040
  5. Step 5: Solve for x
    x = 10,471,448,758,425,040/47,759,468.06
  6. Step 6: Final answer
    x = 219,253,881.65

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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.