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Finding the Third Proportional to 65,613,314 and 153,302,309

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Solution

The third proportional to 65,613,314 and 153,302,309 is: 358,183,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,613,314 : 153,302,309 = 153,302,309 : x
  2. Step 2: Convert to fraction form
    65,613,314/153,302,309 = 153,302,309/x
  3. Step 3: Cross multiply
    65,613,314x = 153,302,309 × 153,302,309
  4. Step 4: Simplify right side
    65,613,314x = 23,501,597,944,731,480
  5. Step 5: Solve for x
    x = 23,501,597,944,731,480/65,613,314
  6. Step 6: Final answer
    x = 358,183,370.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.