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Finding the Third Proportional to 68,223,620 and 148,400,714

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Solution

The third proportional to 68,223,620 and 148,400,714 is: 322,802,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223,620 : 148,400,714 = 148,400,714 : x
  2. Step 2: Convert to fraction form
    68,223,620/148,400,714 = 148,400,714/x
  3. Step 3: Cross multiply
    68,223,620x = 148,400,714 × 148,400,714
  4. Step 4: Simplify right side
    68,223,620x = 22,022,771,915,709,796
  5. Step 5: Solve for x
    x = 22,022,771,915,709,796/68,223,620
  6. Step 6: Final answer
    x = 322,802,746.55

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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.