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Finding the Third Proportional to 100,369,535 and 153,439,159

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Solution

The third proportional to 100,369,535 and 153,439,159 is: 234,568,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,369,535 : 153,439,159 = 153,439,159 : x
  2. Step 2: Convert to fraction form
    100,369,535/153,439,159 = 153,439,159/x
  3. Step 3: Cross multiply
    100,369,535x = 153,439,159 × 153,439,159
  4. Step 4: Simplify right side
    100,369,535x = 23,543,575,514,627,280
  5. Step 5: Solve for x
    x = 23,543,575,514,627,280/100,369,535
  6. Step 6: Final answer
    x = 234,568,940.81

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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.