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Finding the Third Proportional to 108,488,768 and 163,742,037

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Solution

The third proportional to 108,488,768 and 163,742,037 is: 247,135,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,488,768 : 163,742,037 = 163,742,037 : x
  2. Step 2: Convert to fraction form
    108,488,768/163,742,037 = 163,742,037/x
  3. Step 3: Cross multiply
    108,488,768x = 163,742,037 × 163,742,037
  4. Step 4: Simplify right side
    108,488,768x = 26,811,454,680,909,368
  5. Step 5: Solve for x
    x = 26,811,454,680,909,368/108,488,768
  6. Step 6: Final answer
    x = 247,135,765.07

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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.