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Finding the Third Proportional to 65,376,657.98 and 142,244,896.08

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Solution

The third proportional to 65,376,657.98 and 142,244,896.08 is: 309,492,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,376,657.98 : 142,244,896.08 = 142,244,896.08 : x
  2. Step 2: Convert to fraction form
    65,376,657.98/142,244,896.08 = 142,244,896.08/x
  3. Step 3: Cross multiply
    65,376,657.98x = 142,244,896.08 × 142,244,896.08
  4. Step 4: Simplify right side
    65,376,657.98x = 20,233,610,460,275,156
  5. Step 5: Solve for x
    x = 20,233,610,460,275,156/65,376,657.98
  6. Step 6: Final answer
    x = 309,492,884.53

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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.