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Finding the Third Proportional to 233,139,558.66 and 505,615,699.13

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Solution

The third proportional to 233,139,558.66 and 505,615,699.13 is: 1,096,541,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,139,558.66 : 505,615,699.13 = 505,615,699.13 : x
  2. Step 2: Convert to fraction form
    233,139,558.66/505,615,699.13 = 505,615,699.13/x
  3. Step 3: Cross multiply
    233,139,558.66x = 505,615,699.13 × 505,615,699.13
  4. Step 4: Simplify right side
    233,139,558.66x = 255,647,235,201,662,528
  5. Step 5: Solve for x
    x = 255,647,235,201,662,528/233,139,558.66
  6. Step 6: Final answer
    x = 1,096,541,645.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.