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Finding the Third Proportional to 97,514,457 and 203,100,159

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Solution

The third proportional to 97,514,457 and 203,100,159 is: 423,010,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,514,457 : 203,100,159 = 203,100,159 : x
  2. Step 2: Convert to fraction form
    97,514,457/203,100,159 = 203,100,159/x
  3. Step 3: Cross multiply
    97,514,457x = 203,100,159 × 203,100,159
  4. Step 4: Simplify right side
    97,514,457x = 41,249,674,585,825,280
  5. Step 5: Solve for x
    x = 41,249,674,585,825,280/97,514,457
  6. Step 6: Final answer
    x = 423,010,862.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.