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Finding the Third Proportional to 108,943,324 and 233,428,819

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Solution

The third proportional to 108,943,324 and 233,428,819 is: 500,159,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,943,324 : 233,428,819 = 233,428,819 : x
  2. Step 2: Convert to fraction form
    108,943,324/233,428,819 = 233,428,819/x
  3. Step 3: Cross multiply
    108,943,324x = 233,428,819 × 233,428,819
  4. Step 4: Simplify right side
    108,943,324x = 54,489,013,539,734,760
  5. Step 5: Solve for x
    x = 54,489,013,539,734,760/108,943,324
  6. Step 6: Final answer
    x = 500,159,271.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.