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Finding the Third Proportional to 243,210,194,181 and 523,022,686,262

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Solution

The third proportional to 243,210,194,181 and 523,022,686,262 is: 1,124,758,488,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,210,194,181 : 523,022,686,262 = 523,022,686,262 : x
  2. Step 2: Convert to fraction form
    243,210,194,181/523,022,686,262 = 523,022,686,262/x
  3. Step 3: Cross multiply
    243,210,194,181x = 523,022,686,262 × 523,022,686,262
  4. Step 4: Simplify right side
    243,210,194,181x = 273,552,730,344,718,499,577,856
  5. Step 5: Solve for x
    x = 273,552,730,344,718,499,577,856/243,210,194,181
  6. Step 6: Final answer
    x = 1,124,758,488,294.03

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