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Finding the Third Proportional to 148,702,846 and 322,110,044

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Solution

The third proportional to 148,702,846 and 322,110,044 is: 697,732,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,846 : 322,110,044 = 322,110,044 : x
  2. Step 2: Convert to fraction form
    148,702,846/322,110,044 = 322,110,044/x
  3. Step 3: Cross multiply
    148,702,846x = 322,110,044 × 322,110,044
  4. Step 4: Simplify right side
    148,702,846x = 103,754,880,445,681,936
  5. Step 5: Solve for x
    x = 103,754,880,445,681,936/148,702,846
  6. Step 6: Final answer
    x = 697,732,983.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.