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Finding the Third Proportional to 175,703,464,054.82 and 247,429,194,870.02

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Solution

The third proportional to 175,703,464,054.82 and 247,429,194,870.02 is: 348,434,829,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,703,464,054.82 : 247,429,194,870.02 = 247,429,194,870.02 : x
  2. Step 2: Convert to fraction form
    175,703,464,054.82/247,429,194,870.02 = 247,429,194,870.02/x
  3. Step 3: Cross multiply
    175,703,464,054.82x = 247,429,194,870.02 × 247,429,194,870.02
  4. Step 4: Simplify right side
    175,703,464,054.82x = 61,221,206,474,026,326,687,744
  5. Step 5: Solve for x
    x = 61,221,206,474,026,326,687,744/175,703,464,054.82
  6. Step 6: Final answer
    x = 348,434,829,121.67

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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.