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Finding the Third Proportional to 102,500,419.78 and 165,059,435.81

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Solution

The third proportional to 102,500,419.78 and 165,059,435.81 is: 265,800,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500,419.78 : 165,059,435.81 = 165,059,435.81 : x
  2. Step 2: Convert to fraction form
    102,500,419.78/165,059,435.81 = 165,059,435.81/x
  3. Step 3: Cross multiply
    102,500,419.78x = 165,059,435.81 × 165,059,435.81
  4. Step 4: Simplify right side
    102,500,419.78x = 27,244,617,350,740,808
  5. Step 5: Solve for x
    x = 27,244,617,350,740,808/102,500,419.78
  6. Step 6: Final answer
    x = 265,800,056.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.