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Finding the Third Proportional to 223,754,712 and 488,153,544

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Solution

The third proportional to 223,754,712 and 488,153,544 is: 1,064,978,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,754,712 : 488,153,544 = 488,153,544 : x
  2. Step 2: Convert to fraction form
    223,754,712/488,153,544 = 488,153,544/x
  3. Step 3: Cross multiply
    223,754,712x = 488,153,544 × 488,153,544
  4. Step 4: Simplify right side
    223,754,712x = 238,293,882,519,759,936
  5. Step 5: Solve for x
    x = 238,293,882,519,759,936/223,754,712
  6. Step 6: Final answer
    x = 1,064,978,164.66

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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.