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Finding the Third Proportional to 210,232,748.53 and 460,051,085.53

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Solution

The third proportional to 210,232,748.53 and 460,051,085.53 is: 1,006,727,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,232,748.53 : 460,051,085.53 = 460,051,085.53 : x
  2. Step 2: Convert to fraction form
    210,232,748.53/460,051,085.53 = 460,051,085.53/x
  3. Step 3: Cross multiply
    210,232,748.53x = 460,051,085.53 × 460,051,085.53
  4. Step 4: Simplify right side
    210,232,748.53x = 211,647,001,298,481,504
  5. Step 5: Solve for x
    x = 211,647,001,298,481,504/210,232,748.53
  6. Step 6: Final answer
    x = 1,006,727,081.19

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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.