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Finding the Third Proportional to 109,083,346 and 235,472,968

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Solution

The third proportional to 109,083,346 and 235,472,968 is: 508,304,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083,346 : 235,472,968 = 235,472,968 : x
  2. Step 2: Convert to fraction form
    109,083,346/235,472,968 = 235,472,968/x
  3. Step 3: Cross multiply
    109,083,346x = 235,472,968 × 235,472,968
  4. Step 4: Simplify right side
    109,083,346x = 55,447,518,658,729,024
  5. Step 5: Solve for x
    x = 55,447,518,658,729,024/109,083,346
  6. Step 6: Final answer
    x = 508,304,160.92

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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.