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Finding the Third Proportional to 48,749,269.50 and 99,201,066.19

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Solution

The third proportional to 48,749,269.50 and 99,201,066.19 is: 201,866,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,749,269.50 : 99,201,066.19 = 99,201,066.19 : x
  2. Step 2: Convert to fraction form
    48,749,269.50/99,201,066.19 = 99,201,066.19/x
  3. Step 3: Cross multiply
    48,749,269.50x = 99,201,066.19 × 99,201,066.19
  4. Step 4: Simplify right side
    48,749,269.50x = 9,840,851,532,736,756
  5. Step 5: Solve for x
    x = 9,840,851,532,736,756/48,749,269.50
  6. Step 6: Final answer
    x = 201,866,646.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.