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Finding the Third Proportional to 85,299,713,643 and 187,659,071,664

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Solution

The third proportional to 85,299,713,643 and 187,659,071,664 is: 412,849,301,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,299,713,643 : 187,659,071,664 = 187,659,071,664 : x
  2. Step 2: Convert to fraction form
    85,299,713,643/187,659,071,664 = 187,659,071,664/x
  3. Step 3: Cross multiply
    85,299,713,643x = 187,659,071,664 × 187,659,071,664
  4. Step 4: Simplify right side
    85,299,713,643x = 35,215,927,177,794,287,566,848
  5. Step 5: Solve for x
    x = 35,215,927,177,794,287,566,848/85,299,713,643
  6. Step 6: Final answer
    x = 412,849,301,290.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.