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Finding the Third Proportional to 158,112,152 and 236,238,206

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Solution

The third proportional to 158,112,152 and 236,238,206 is: 352,967,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,112,152 : 236,238,206 = 236,238,206 : x
  2. Step 2: Convert to fraction form
    158,112,152/236,238,206 = 236,238,206/x
  3. Step 3: Cross multiply
    158,112,152x = 236,238,206 × 236,238,206
  4. Step 4: Simplify right side
    158,112,152x = 55,808,489,974,098,432
  5. Step 5: Solve for x
    x = 55,808,489,974,098,432/158,112,152
  6. Step 6: Final answer
    x = 352,967,746.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.