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Finding the Third Proportional to 176,933,989,065 and 389,932,760,133

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Solution

The third proportional to 176,933,989,065 and 389,932,760,133 is: 859,346,235,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,933,989,065 : 389,932,760,133 = 389,932,760,133 : x
  2. Step 2: Convert to fraction form
    176,933,989,065/389,932,760,133 = 389,932,760,133/x
  3. Step 3: Cross multiply
    176,933,989,065x = 389,932,760,133 × 389,932,760,133
  4. Step 4: Simplify right side
    176,933,989,065x = 152,047,557,424,939,697,963,008
  5. Step 5: Solve for x
    x = 152,047,557,424,939,697,963,008/176,933,989,065
  6. Step 6: Final answer
    x = 859,346,235,443.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.