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Finding the Third Proportional to 144,034,560 and 315,389,124

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Solution

The third proportional to 144,034,560 and 315,389,124 is: 690,600,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,034,560 : 315,389,124 = 315,389,124 : x
  2. Step 2: Convert to fraction form
    144,034,560/315,389,124 = 315,389,124/x
  3. Step 3: Cross multiply
    144,034,560x = 315,389,124 × 315,389,124
  4. Step 4: Simplify right side
    144,034,560x = 99,470,299,537,487,376
  5. Step 5: Solve for x
    x = 99,470,299,537,487,376/144,034,560
  6. Step 6: Final answer
    x = 690,600,224.96

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