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Finding the Third Proportional to 246,477,223.69 and 520,456,610.25

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Solution

The third proportional to 246,477,223.69 and 520,456,610.25 is: 1,098,986,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,477,223.69 : 520,456,610.25 = 520,456,610.25 : x
  2. Step 2: Convert to fraction form
    246,477,223.69/520,456,610.25 = 520,456,610.25/x
  3. Step 3: Cross multiply
    246,477,223.69x = 520,456,610.25 × 520,456,610.25
  4. Step 4: Simplify right side
    246,477,223.69x = 270,875,083,152,920,416
  5. Step 5: Solve for x
    x = 270,875,083,152,920,416/246,477,223.69
  6. Step 6: Final answer
    x = 1,098,986,263.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.