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Finding the Third Proportional to 108,216,405 and 240,580,570.50

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Solution

The third proportional to 108,216,405 and 240,580,570.50 is: 534,845,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216,405 : 240,580,570.50 = 240,580,570.50 : x
  2. Step 2: Convert to fraction form
    108,216,405/240,580,570.50 = 240,580,570.50/x
  3. Step 3: Cross multiply
    108,216,405x = 240,580,570.50 × 240,580,570.50
  4. Step 4: Simplify right side
    108,216,405x = 57,879,010,902,105,472
  5. Step 5: Solve for x
    x = 57,879,010,902,105,472/108,216,405
  6. Step 6: Final answer
    x = 534,845,071.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.