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Finding the Third Proportional to 268,522,101 and 578,362,098

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Solution

The third proportional to 268,522,101 and 578,362,098 is: 1,245,717,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,522,101 : 578,362,098 = 578,362,098 : x
  2. Step 2: Convert to fraction form
    268,522,101/578,362,098 = 578,362,098/x
  3. Step 3: Cross multiply
    268,522,101x = 578,362,098 × 578,362,098
  4. Step 4: Simplify right side
    268,522,101x = 334,502,716,402,961,600
  5. Step 5: Solve for x
    x = 334,502,716,402,961,600/268,522,101
  6. Step 6: Final answer
    x = 1,245,717,634.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.