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Finding the Third Proportional to 90,966,249 and 148,523,976

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Solution

The third proportional to 90,966,249 and 148,523,976 is: 242,500,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,966,249 : 148,523,976 = 148,523,976 : x
  2. Step 2: Convert to fraction form
    90,966,249/148,523,976 = 148,523,976/x
  3. Step 3: Cross multiply
    90,966,249x = 148,523,976 × 148,523,976
  4. Step 4: Simplify right side
    90,966,249x = 22,059,371,446,848,576
  5. Step 5: Solve for x
    x = 22,059,371,446,848,576/90,966,249
  6. Step 6: Final answer
    x = 242,500,616.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.