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Finding the Third Proportional to 68,542,961 and 148,371,490

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Solution

The third proportional to 68,542,961 and 148,371,490 is: 321,172,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542,961 : 148,371,490 = 148,371,490 : x
  2. Step 2: Convert to fraction form
    68,542,961/148,371,490 = 148,371,490/x
  3. Step 3: Cross multiply
    68,542,961x = 148,371,490 × 148,371,490
  4. Step 4: Simplify right side
    68,542,961x = 22,014,099,044,820,100
  5. Step 5: Solve for x
    x = 22,014,099,044,820,100/68,542,961
  6. Step 6: Final answer
    x = 321,172,279.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.