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Finding the Third Proportional to 175,459,373.44 and 380,176,934.06

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Solution

The third proportional to 175,459,373.44 and 380,176,934.06 is: 823,749,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,459,373.44 : 380,176,934.06 = 380,176,934.06 : x
  2. Step 2: Convert to fraction form
    175,459,373.44/380,176,934.06 = 380,176,934.06/x
  3. Step 3: Cross multiply
    175,459,373.44x = 380,176,934.06 × 380,176,934.06
  4. Step 4: Simplify right side
    175,459,373.44x = 144,534,501,193,162,464
  5. Step 5: Solve for x
    x = 144,534,501,193,162,464/175,459,373.44
  6. Step 6: Final answer
    x = 823,749,101.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.