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Finding the Third Proportional to 66,249,314.25 and 100,565,805.75

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Solution

The third proportional to 66,249,314.25 and 100,565,805.75 is: 152,657,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,249,314.25 : 100,565,805.75 = 100,565,805.75 : x
  2. Step 2: Convert to fraction form
    66,249,314.25/100,565,805.75 = 100,565,805.75/x
  3. Step 3: Cross multiply
    66,249,314.25x = 100,565,805.75 × 100,565,805.75
  4. Step 4: Simplify right side
    66,249,314.25x = 10,113,481,286,146,734
  5. Step 5: Solve for x
    x = 10,113,481,286,146,734/66,249,314.25
  6. Step 6: Final answer
    x = 152,657,901.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.