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Finding the Third Proportional to 106,676,974.50 and 232,736,668.50

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Solution

The third proportional to 106,676,974.50 and 232,736,668.50 is: 507,760,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,676,974.50 : 232,736,668.50 = 232,736,668.50 : x
  2. Step 2: Convert to fraction form
    106,676,974.50/232,736,668.50 = 232,736,668.50/x
  3. Step 3: Cross multiply
    106,676,974.50x = 232,736,668.50 × 232,736,668.50
  4. Step 4: Simplify right side
    106,676,974.50x = 54,166,356,864,478,896
  5. Step 5: Solve for x
    x = 54,166,356,864,478,896/106,676,974.50
  6. Step 6: Final answer
    x = 507,760,527.69

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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.