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Finding the Third Proportional to 153,144,111 and 336,044,058

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Solution

The third proportional to 153,144,111 and 336,044,058 is: 737,381,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144,111 : 336,044,058 = 336,044,058 : x
  2. Step 2: Convert to fraction form
    153,144,111/336,044,058 = 336,044,058/x
  3. Step 3: Cross multiply
    153,144,111x = 336,044,058 × 336,044,058
  4. Step 4: Simplify right side
    153,144,111x = 112,925,608,917,107,360
  5. Step 5: Solve for x
    x = 112,925,608,917,107,360/153,144,111
  6. Step 6: Final answer
    x = 737,381,334.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.