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Finding the Third Proportional to 232,604,185,896 and 505,963,046,808

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Solution

The third proportional to 232,604,185,896 and 505,963,046,808 is: 1,100,576,087,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,604,185,896 : 505,963,046,808 = 505,963,046,808 : x
  2. Step 2: Convert to fraction form
    232,604,185,896/505,963,046,808 = 505,963,046,808/x
  3. Step 3: Cross multiply
    232,604,185,896x = 505,963,046,808 × 505,963,046,808
  4. Step 4: Simplify right side
    232,604,185,896x = 255,998,604,735,234,386,690,048
  5. Step 5: Solve for x
    x = 255,998,604,735,234,386,690,048/232,604,185,896
  6. Step 6: Final answer
    x = 1,100,576,087,008.57

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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.