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Finding the Third Proportional to 68,231,441 and 97,571,764

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Solution

The third proportional to 68,231,441 and 97,571,764 is: 139,528,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231,441 : 97,571,764 = 97,571,764 : x
  2. Step 2: Convert to fraction form
    68,231,441/97,571,764 = 97,571,764/x
  3. Step 3: Cross multiply
    68,231,441x = 97,571,764 × 97,571,764
  4. Step 4: Simplify right side
    68,231,441x = 9,520,249,130,071,696
  5. Step 5: Solve for x
    x = 9,520,249,130,071,696/68,231,441
  6. Step 6: Final answer
    x = 139,528,771.35

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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.