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Finding the Third Proportional to 157,722,515 and 343,218,010

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Solution

The third proportional to 157,722,515 and 343,218,010 is: 746,872,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722,515 : 343,218,010 = 343,218,010 : x
  2. Step 2: Convert to fraction form
    157,722,515/343,218,010 = 343,218,010/x
  3. Step 3: Cross multiply
    157,722,515x = 343,218,010 × 343,218,010
  4. Step 4: Simplify right side
    157,722,515x = 117,798,602,388,360,096
  5. Step 5: Solve for x
    x = 117,798,602,388,360,096/157,722,515
  6. Step 6: Final answer
    x = 746,872,457.55

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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.