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Finding the Third Proportional to 102,802,276 and 224,356,708

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Solution

The third proportional to 102,802,276 and 224,356,708 is: 489,638,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802,276 : 224,356,708 = 224,356,708 : x
  2. Step 2: Convert to fraction form
    102,802,276/224,356,708 = 224,356,708/x
  3. Step 3: Cross multiply
    102,802,276x = 224,356,708 × 224,356,708
  4. Step 4: Simplify right side
    102,802,276x = 50,335,932,424,597,264
  5. Step 5: Solve for x
    x = 50,335,932,424,597,264/102,802,276
  6. Step 6: Final answer
    x = 489,638,307.47

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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.