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Finding the Third Proportional to 100,965,486.23 and 218,073,492.84

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Solution

The third proportional to 100,965,486.23 and 218,073,492.84 is: 471,012,917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965,486.23 : 218,073,492.84 = 218,073,492.84 : x
  2. Step 2: Convert to fraction form
    100,965,486.23/218,073,492.84 = 218,073,492.84/x
  3. Step 3: Cross multiply
    100,965,486.23x = 218,073,492.84 × 218,073,492.84
  4. Step 4: Simplify right side
    100,965,486.23x = 47,556,048,281,077,448
  5. Step 5: Solve for x
    x = 47,556,048,281,077,448/100,965,486.23
  6. Step 6: Final answer
    x = 471,012,917.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.