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Finding the Third Proportional to 153,405,173 and 329,578,465

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Solution

The third proportional to 153,405,173 and 329,578,465 is: 708,072,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,405,173 : 329,578,465 = 329,578,465 : x
  2. Step 2: Convert to fraction form
    153,405,173/329,578,465 = 329,578,465/x
  3. Step 3: Cross multiply
    153,405,173x = 329,578,465 × 329,578,465
  4. Step 4: Simplify right side
    153,405,173x = 108,621,964,591,756,224
  5. Step 5: Solve for x
    x = 108,621,964,591,756,224/153,405,173
  6. Step 6: Final answer
    x = 708,072,371.14

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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.