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Finding the Third Proportional to 145,506,712 and 219,770,736

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Solution

The third proportional to 145,506,712 and 219,770,736 is: 331,937,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,506,712 : 219,770,736 = 219,770,736 : x
  2. Step 2: Convert to fraction form
    145,506,712/219,770,736 = 219,770,736/x
  3. Step 3: Cross multiply
    145,506,712x = 219,770,736 × 219,770,736
  4. Step 4: Simplify right side
    145,506,712x = 48,299,176,401,981,696
  5. Step 5: Solve for x
    x = 48,299,176,401,981,696/145,506,712
  6. Step 6: Final answer
    x = 331,937,789.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.