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Finding the Third Proportional to 68,461,692 and 152,230,440

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Solution

The third proportional to 68,461,692 and 152,230,440 is: 338,497,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461,692 : 152,230,440 = 152,230,440 : x
  2. Step 2: Convert to fraction form
    68,461,692/152,230,440 = 152,230,440/x
  3. Step 3: Cross multiply
    68,461,692x = 152,230,440 × 152,230,440
  4. Step 4: Simplify right side
    68,461,692x = 23,174,106,862,593,600
  5. Step 5: Solve for x
    x = 23,174,106,862,593,600/68,461,692
  6. Step 6: Final answer
    x = 338,497,430.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.