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Finding the Third Proportional to 108,488,758.50 and 163,742,023

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Solution

The third proportional to 108,488,758.50 and 163,742,023 is: 247,135,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,758.50 : 163,742,023 = 163,742,023 : x
  2. Step 2: Convert to fraction form
    108,488,758.50/163,742,023 = 163,742,023/x
  3. Step 3: Cross multiply
    108,488,758.50x = 163,742,023 × 163,742,023
  4. Step 4: Simplify right side
    108,488,758.50x = 26,811,450,096,132,528
  5. Step 5: Solve for x
    x = 26,811,450,096,132,528/108,488,758.50
  6. Step 6: Final answer
    x = 247,135,744.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.