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Finding the Third Proportional to 107,949,153 and 153,849,322

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Solution

The third proportional to 107,949,153 and 153,849,322 is: 219,266,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,949,153 : 153,849,322 = 153,849,322 : x
  2. Step 2: Convert to fraction form
    107,949,153/153,849,322 = 153,849,322/x
  3. Step 3: Cross multiply
    107,949,153x = 153,849,322 × 153,849,322
  4. Step 4: Simplify right side
    107,949,153x = 23,669,613,879,859,684
  5. Step 5: Solve for x
    x = 23,669,613,879,859,684/107,949,153
  6. Step 6: Final answer
    x = 219,266,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.