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Finding the Third Proportional to 147,890,859 and 319,164,798

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Solution

The third proportional to 147,890,859 and 319,164,798 is: 688,792,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890,859 : 319,164,798 = 319,164,798 : x
  2. Step 2: Convert to fraction form
    147,890,859/319,164,798 = 319,164,798/x
  3. Step 3: Cross multiply
    147,890,859x = 319,164,798 × 319,164,798
  4. Step 4: Simplify right side
    147,890,859x = 101,866,168,282,380,800
  5. Step 5: Solve for x
    x = 101,866,168,282,380,800/147,890,859
  6. Step 6: Final answer
    x = 688,792,863.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.