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Finding the Third Proportional to 382,042,118.25 and 605,920,666.50

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Solution

The third proportional to 382,042,118.25 and 605,920,666.50 is: 960,993,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,042,118.25 : 605,920,666.50 = 605,920,666.50 : x
  2. Step 2: Convert to fraction form
    382,042,118.25/605,920,666.50 = 605,920,666.50/x
  3. Step 3: Cross multiply
    382,042,118.25x = 605,920,666.50 × 605,920,666.50
  4. Step 4: Simplify right side
    382,042,118.25x = 367,139,854,091,804,224
  5. Step 5: Solve for x
    x = 367,139,854,091,804,224/382,042,118.25
  6. Step 6: Final answer
    x = 960,993,138.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.