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Finding the Third Proportional to 77,576,476.50 and 168,773,117.63

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Solution

The third proportional to 77,576,476.50 and 168,773,117.63 is: 367,177,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576,476.50 : 168,773,117.63 = 168,773,117.63 : x
  2. Step 2: Convert to fraction form
    77,576,476.50/168,773,117.63 = 168,773,117.63/x
  3. Step 3: Cross multiply
    77,576,476.50x = 168,773,117.63 × 168,773,117.63
  4. Step 4: Simplify right side
    77,576,476.50x = 28,484,365,232,862,084
  5. Step 5: Solve for x
    x = 28,484,365,232,862,084/77,576,476.50
  6. Step 6: Final answer
    x = 367,177,867.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.