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Finding the Third Proportional to 210,301,514 and 460,180,619

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Solution

The third proportional to 210,301,514 and 460,180,619 is: 1,006,964,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301,514 : 460,180,619 = 460,180,619 : x
  2. Step 2: Convert to fraction form
    210,301,514/460,180,619 = 460,180,619/x
  3. Step 3: Cross multiply
    210,301,514x = 460,180,619 × 460,180,619
  4. Step 4: Simplify right side
    210,301,514x = 211,766,202,103,223,168
  5. Step 5: Solve for x
    x = 211,766,202,103,223,168/210,301,514
  6. Step 6: Final answer
    x = 1,006,964,705.46

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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.