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Finding the Third Proportional to 109,460,034 and 237,972,726

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Solution

The third proportional to 109,460,034 and 237,972,726 is: 517,367,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460,034 : 237,972,726 = 237,972,726 : x
  2. Step 2: Convert to fraction form
    109,460,034/237,972,726 = 237,972,726/x
  3. Step 3: Cross multiply
    109,460,034x = 237,972,726 × 237,972,726
  4. Step 4: Simplify right side
    109,460,034x = 56,631,018,319,871,072
  5. Step 5: Solve for x
    x = 56,631,018,319,871,072/109,460,034
  6. Step 6: Final answer
    x = 517,367,081.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.