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Finding the Third Proportional to 153,499,266 and 313,164,588

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Solution

The third proportional to 153,499,266 and 313,164,588 is: 638,908,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,499,266 : 313,164,588 = 313,164,588 : x
  2. Step 2: Convert to fraction form
    153,499,266/313,164,588 = 313,164,588/x
  3. Step 3: Cross multiply
    153,499,266x = 313,164,588 × 313,164,588
  4. Step 4: Simplify right side
    153,499,266x = 98,072,059,177,209,744
  5. Step 5: Solve for x
    x = 98,072,059,177,209,744/153,499,266
  6. Step 6: Final answer
    x = 638,908,978.09

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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.