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Finding the Third Proportional to 77,853,271.50 and 165,769,476.75

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Solution

The third proportional to 77,853,271.50 and 165,769,476.75 is: 352,965,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,853,271.50 : 165,769,476.75 = 165,769,476.75 : x
  2. Step 2: Convert to fraction form
    77,853,271.50/165,769,476.75 = 165,769,476.75/x
  3. Step 3: Cross multiply
    77,853,271.50x = 165,769,476.75 × 165,769,476.75
  4. Step 4: Simplify right side
    77,853,271.50x = 27,479,519,421,968,792
  5. Step 5: Solve for x
    x = 27,479,519,421,968,792/77,853,271.50
  6. Step 6: Final answer
    x = 352,965,506.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.