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Finding the Third Proportional to 158,955,052.50 and 214,694,856.75

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Solution

The third proportional to 158,955,052.50 and 214,694,856.75 is: 289,980,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,955,052.50 : 214,694,856.75 = 214,694,856.75 : x
  2. Step 2: Convert to fraction form
    158,955,052.50/214,694,856.75 = 214,694,856.75/x
  3. Step 3: Cross multiply
    158,955,052.50x = 214,694,856.75 × 214,694,856.75
  4. Step 4: Simplify right side
    158,955,052.50x = 46,093,881,514,903,024
  5. Step 5: Solve for x
    x = 46,093,881,514,903,024/158,955,052.50
  6. Step 6: Final answer
    x = 289,980,600.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.