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Finding the Third Proportional to 153,684,460 and 236,078,128

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Solution

The third proportional to 153,684,460 and 236,078,128 is: 362,644,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684,460 : 236,078,128 = 236,078,128 : x
  2. Step 2: Convert to fraction form
    153,684,460/236,078,128 = 236,078,128/x
  3. Step 3: Cross multiply
    153,684,460x = 236,078,128 × 236,078,128
  4. Step 4: Simplify right side
    153,684,460x = 55,732,882,519,984,384
  5. Step 5: Solve for x
    x = 55,732,882,519,984,384/153,684,460
  6. Step 6: Final answer
    x = 362,644,879.77

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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.