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Finding the Third Proportional to 157,926,759.75 and 245,828,427.75

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Solution

The third proportional to 157,926,759.75 and 245,828,427.75 is: 382,655,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,926,759.75 : 245,828,427.75 = 245,828,427.75 : x
  2. Step 2: Convert to fraction form
    157,926,759.75/245,828,427.75 = 245,828,427.75/x
  3. Step 3: Cross multiply
    157,926,759.75x = 245,828,427.75 × 245,828,427.75
  4. Step 4: Simplify right side
    157,926,759.75x = 60,431,615,890,036,968
  5. Step 5: Solve for x
    x = 60,431,615,890,036,968/157,926,759.75
  6. Step 6: Final answer
    x = 382,655,960.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.