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Finding the Third Proportional to 144,034,699.50 and 315,389,403

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Solution

The third proportional to 144,034,699.50 and 315,389,403 is: 690,600,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,034,699.50 : 315,389,403 = 315,389,403 : x
  2. Step 2: Convert to fraction form
    144,034,699.50/315,389,403 = 315,389,403/x
  3. Step 3: Cross multiply
    144,034,699.50x = 315,389,403 × 315,389,403
  4. Step 4: Simplify right side
    144,034,699.50x = 99,470,475,524,696,416
  5. Step 5: Solve for x
    x = 99,470,475,524,696,416/144,034,699.50
  6. Step 6: Final answer
    x = 690,600,777.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.