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Finding the Third Proportional to 193,795,389 and 425,256,574.50

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Solution

The third proportional to 193,795,389 and 425,256,574.50 is: 933,165,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,795,389 : 425,256,574.50 = 425,256,574.50 : x
  2. Step 2: Convert to fraction form
    193,795,389/425,256,574.50 = 425,256,574.50/x
  3. Step 3: Cross multiply
    193,795,389x = 425,256,574.50 × 425,256,574.50
  4. Step 4: Simplify right side
    193,795,389x = 180,843,154,155,474,048
  5. Step 5: Solve for x
    x = 180,843,154,155,474,048/193,795,389
  6. Step 6: Final answer
    x = 933,165,412.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.