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Finding the Third Proportional to 153,405,171 and 329,578,461

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Solution

The third proportional to 153,405,171 and 329,578,461 is: 708,072,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,405,171 : 329,578,461 = 329,578,461 : x
  2. Step 2: Convert to fraction form
    153,405,171/329,578,461 = 329,578,461/x
  3. Step 3: Cross multiply
    153,405,171x = 329,578,461 × 329,578,461
  4. Step 4: Simplify right side
    153,405,171x = 108,621,961,955,128,528
  5. Step 5: Solve for x
    x = 108,621,961,955,128,528/153,405,171
  6. Step 6: Final answer
    x = 708,072,363.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.