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Finding the Third Proportional to 89,050,257 and 136,223,645

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Solution

The third proportional to 89,050,257 and 136,223,645 is: 208,386,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,050,257 : 136,223,645 = 136,223,645 : x
  2. Step 2: Convert to fraction form
    89,050,257/136,223,645 = 136,223,645/x
  3. Step 3: Cross multiply
    89,050,257x = 136,223,645 × 136,223,645
  4. Step 4: Simplify right side
    89,050,257x = 18,556,881,457,086,024
  5. Step 5: Solve for x
    x = 18,556,881,457,086,024/89,050,257
  6. Step 6: Final answer
    x = 208,386,613.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.