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Finding the Third Proportional to 216,095,261 and 473,173,930

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Solution

The third proportional to 216,095,261 and 473,173,930 is: 1,036,087,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095,261 : 473,173,930 = 473,173,930 : x
  2. Step 2: Convert to fraction form
    216,095,261/473,173,930 = 473,173,930/x
  3. Step 3: Cross multiply
    216,095,261x = 473,173,930 × 473,173,930
  4. Step 4: Simplify right side
    216,095,261x = 223,893,568,031,644,896
  5. Step 5: Solve for x
    x = 223,893,568,031,644,896/216,095,261
  6. Step 6: Final answer
    x = 1,036,087,357.93

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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.