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Finding the Third Proportional to 148,702,918.50 and 322,110,189

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Solution

The third proportional to 148,702,918.50 and 322,110,189 is: 697,733,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,918.50 : 322,110,189 = 322,110,189 : x
  2. Step 2: Convert to fraction form
    148,702,918.50/322,110,189 = 322,110,189/x
  3. Step 3: Cross multiply
    148,702,918.50x = 322,110,189 × 322,110,189
  4. Step 4: Simplify right side
    148,702,918.50x = 103,754,973,857,615,728
  5. Step 5: Solve for x
    x = 103,754,973,857,615,728/148,702,918.50
  6. Step 6: Final answer
    x = 697,733,271.84

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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.