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Finding the Third Proportional to 148,702,846 and 322,110,043

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Solution

The third proportional to 148,702,846 and 322,110,043 is: 697,732,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,846 : 322,110,043 = 322,110,043 : x
  2. Step 2: Convert to fraction form
    148,702,846/322,110,043 = 322,110,043/x
  3. Step 3: Cross multiply
    148,702,846x = 322,110,043 × 322,110,043
  4. Step 4: Simplify right side
    148,702,846x = 103,754,879,801,461,856
  5. Step 5: Solve for x
    x = 103,754,879,801,461,856/148,702,846
  6. Step 6: Final answer
    x = 697,732,979.51

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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.