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Finding the Third Proportional to 69,752,574 and 114,854,908.50

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Solution

The third proportional to 69,752,574 and 114,854,908.50 is: 189,120,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,752,574 : 114,854,908.50 = 114,854,908.50 : x
  2. Step 2: Convert to fraction form
    69,752,574/114,854,908.50 = 114,854,908.50/x
  3. Step 3: Cross multiply
    69,752,574x = 114,854,908.50 × 114,854,908.50
  4. Step 4: Simplify right side
    69,752,574x = 13,191,650,006,543,372
  5. Step 5: Solve for x
    x = 13,191,650,006,543,372/69,752,574
  6. Step 6: Final answer
    x = 189,120,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.