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Finding the Third Proportional to 65,890,973.81 and 96,410,963.81

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Solution

The third proportional to 65,890,973.81 and 96,410,963.81 is: 141,067,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,890,973.81 : 96,410,963.81 = 96,410,963.81 : x
  2. Step 2: Convert to fraction form
    65,890,973.81/96,410,963.81 = 96,410,963.81/x
  3. Step 3: Cross multiply
    65,890,973.81x = 96,410,963.81 × 96,410,963.81
  4. Step 4: Simplify right side
    65,890,973.81x = 9,295,073,943,255,184
  5. Step 5: Solve for x
    x = 9,295,073,943,255,184/65,890,973.81
  6. Step 6: Final answer
    x = 141,067,484.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.