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Finding the Third Proportional to 68,231,442 and 97,571,767.50

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Solution

The third proportional to 68,231,442 and 97,571,767.50 is: 139,528,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231,442 : 97,571,767.50 = 97,571,767.50 : x
  2. Step 2: Convert to fraction form
    68,231,442/97,571,767.50 = 97,571,767.50/x
  3. Step 3: Cross multiply
    68,231,442x = 97,571,767.50 × 97,571,767.50
  4. Step 4: Simplify right side
    68,231,442x = 9,520,249,813,074,056
  5. Step 5: Solve for x
    x = 9,520,249,813,074,056/68,231,442
  6. Step 6: Final answer
    x = 139,528,779.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.