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Finding the Third Proportional to 175,703,459,329.50 and 247,429,188,693.75

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Solution

The third proportional to 175,703,459,329.50 and 247,429,188,693.75 is: 348,434,821,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,703,459,329.50 : 247,429,188,693.75 = 247,429,188,693.75 : x
  2. Step 2: Convert to fraction form
    175,703,459,329.50/247,429,188,693.75 = 247,429,188,693.75/x
  3. Step 3: Cross multiply
    175,703,459,329.50x = 247,429,188,693.75 × 247,429,188,693.75
  4. Step 4: Simplify right side
    175,703,459,329.50x = 61,221,203,417,647,345,041,408
  5. Step 5: Solve for x
    x = 61,221,203,417,647,345,041,408/175,703,459,329.50
  6. Step 6: Final answer
    x = 348,434,821,097.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.