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Finding the Third Proportional to 153,684,464 and 236,078,135

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Solution

The third proportional to 153,684,464 and 236,078,135 is: 362,644,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684,464 : 236,078,135 = 236,078,135 : x
  2. Step 2: Convert to fraction form
    153,684,464/236,078,135 = 236,078,135/x
  3. Step 3: Cross multiply
    153,684,464x = 236,078,135 × 236,078,135
  4. Step 4: Simplify right side
    153,684,464x = 55,732,885,825,078,224
  5. Step 5: Solve for x
    x = 55,732,885,825,078,224/153,684,464
  6. Step 6: Final answer
    x = 362,644,891.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.