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Finding the Third Proportional to 153,500,546 and 313,167,136

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Solution

The third proportional to 153,500,546 and 313,167,136 is: 638,914,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,500,546 : 313,167,136 = 313,167,136 : x
  2. Step 2: Convert to fraction form
    153,500,546/313,167,136 = 313,167,136/x
  3. Step 3: Cross multiply
    153,500,546x = 313,167,136 × 313,167,136
  4. Step 4: Simplify right side
    153,500,546x = 98,073,655,070,442,496
  5. Step 5: Solve for x
    x = 98,073,655,070,442,496/153,500,546
  6. Step 6: Final answer
    x = 638,914,047.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.