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Finding the Third Proportional to 109,083,438 and 235,473,154

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Solution

The third proportional to 109,083,438 and 235,473,154 is: 508,304,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083,438 : 235,473,154 = 235,473,154 : x
  2. Step 2: Convert to fraction form
    109,083,438/235,473,154 = 235,473,154/x
  3. Step 3: Cross multiply
    109,083,438x = 235,473,154 × 235,473,154
  4. Step 4: Simplify right side
    109,083,438x = 55,447,606,254,707,712
  5. Step 5: Solve for x
    x = 55,447,606,254,707,712/109,083,438
  6. Step 6: Final answer
    x = 508,304,535.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.