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Finding the Third Proportional to 106,677,000 and 232,736,712

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Solution

The third proportional to 106,677,000 and 232,736,712 is: 507,760,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,677,000 : 232,736,712 = 232,736,712 : x
  2. Step 2: Convert to fraction form
    106,677,000/232,736,712 = 232,736,712/x
  3. Step 3: Cross multiply
    106,677,000x = 232,736,712 × 232,736,712
  4. Step 4: Simplify right side
    106,677,000x = 54,166,377,112,570,944
  5. Step 5: Solve for x
    x = 54,166,377,112,570,944/106,677,000
  6. Step 6: Final answer
    x = 507,760,596.12

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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.