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Finding the Third Proportional to 64,602,508.50 and 99,298,689.75

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Solution

The third proportional to 64,602,508.50 and 99,298,689.75 is: 152,629,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602,508.50 : 99,298,689.75 = 99,298,689.75 : x
  2. Step 2: Convert to fraction form
    64,602,508.50/99,298,689.75 = 99,298,689.75/x
  3. Step 3: Cross multiply
    64,602,508.50x = 99,298,689.75 × 99,298,689.75
  4. Step 4: Simplify right side
    64,602,508.50x = 9,860,229,786,066,756
  5. Step 5: Solve for x
    x = 9,860,229,786,066,756/64,602,508.50
  6. Step 6: Final answer
    x = 152,629,209.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.