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Finding the Third Proportional to 106,676,776 and 232,736,280

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Solution

The third proportional to 106,676,776 and 232,736,280 is: 507,759,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,676,776 : 232,736,280 = 232,736,280 : x
  2. Step 2: Convert to fraction form
    106,676,776/232,736,280 = 232,736,280/x
  3. Step 3: Cross multiply
    106,676,776x = 232,736,280 × 232,736,280
  4. Step 4: Simplify right side
    106,676,776x = 54,166,176,028,238,400
  5. Step 5: Solve for x
    x = 54,166,176,028,238,400/106,676,776
  6. Step 6: Final answer
    x = 507,759,777.33

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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.