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Finding the Third Proportional to 65,566,395 and 96,223,828.50

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Solution

The third proportional to 65,566,395 and 96,223,828.50 is: 141,216,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,566,395 : 96,223,828.50 = 96,223,828.50 : x
  2. Step 2: Convert to fraction form
    65,566,395/96,223,828.50 = 96,223,828.50/x
  3. Step 3: Cross multiply
    65,566,395x = 96,223,828.50 × 96,223,828.50
  4. Step 4: Simplify right side
    65,566,395x = 9,259,025,171,197,412
  5. Step 5: Solve for x
    x = 9,259,025,171,197,412/65,566,395
  6. Step 6: Final answer
    x = 141,216,017.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.