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Finding the Third Proportional to 77,534,382 and 169,152,060

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Solution

The third proportional to 77,534,382 and 169,152,060 is: 369,028,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,382 : 169,152,060 = 169,152,060 : x
  2. Step 2: Convert to fraction form
    77,534,382/169,152,060 = 169,152,060/x
  3. Step 3: Cross multiply
    77,534,382x = 169,152,060 × 169,152,060
  4. Step 4: Simplify right side
    77,534,382x = 28,612,419,402,243,600
  5. Step 5: Solve for x
    x = 28,612,419,402,243,600/77,534,382
  6. Step 6: Final answer
    x = 369,028,792.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.