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Finding the Third Proportional to 223,754,718 and 488,153,556

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Solution

The third proportional to 223,754,718 and 488,153,556 is: 1,064,978,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,754,718 : 488,153,556 = 488,153,556 : x
  2. Step 2: Convert to fraction form
    223,754,718/488,153,556 = 488,153,556/x
  3. Step 3: Cross multiply
    223,754,718x = 488,153,556 × 488,153,556
  4. Step 4: Simplify right side
    223,754,718x = 238,293,894,235,445,120
  5. Step 5: Solve for x
    x = 238,293,894,235,445,120/223,754,718
  6. Step 6: Final answer
    x = 1,064,978,188.46

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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.