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Finding the Third Proportional to 74,113,218 and 160,984,607

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Solution

The third proportional to 74,113,218 and 160,984,607 is: 349,681,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,113,218 : 160,984,607 = 160,984,607 : x
  2. Step 2: Convert to fraction form
    74,113,218/160,984,607 = 160,984,607/x
  3. Step 3: Cross multiply
    74,113,218x = 160,984,607 × 160,984,607
  4. Step 4: Simplify right side
    74,113,218x = 25,916,043,690,944,448
  5. Step 5: Solve for x
    x = 25,916,043,690,944,448/74,113,218
  6. Step 6: Final answer
    x = 349,681,802.93

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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.