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Finding the Third Proportional to 216,095,269 and 473,173,945

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Solution

The third proportional to 216,095,269 and 473,173,945 is: 1,036,087,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095,269 : 473,173,945 = 473,173,945 : x
  2. Step 2: Convert to fraction form
    216,095,269/473,173,945 = 473,173,945/x
  3. Step 3: Cross multiply
    216,095,269x = 473,173,945 × 473,173,945
  4. Step 4: Simplify right side
    216,095,269x = 223,893,582,226,863,040
  5. Step 5: Solve for x
    x = 223,893,582,226,863,040/216,095,269
  6. Step 6: Final answer
    x = 1,036,087,385.27

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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.