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Finding the Third Proportional to 148,269,130.31 and 308,810,360.25

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Solution

The third proportional to 148,269,130.31 and 308,810,360.25 is: 643,180,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269,130.31 : 308,810,360.25 = 308,810,360.25 : x
  2. Step 2: Convert to fraction form
    148,269,130.31/308,810,360.25 = 308,810,360.25/x
  3. Step 3: Cross multiply
    148,269,130.31x = 308,810,360.25 × 308,810,360.25
  4. Step 4: Simplify right side
    148,269,130.31x = 95,363,838,597,734,784
  5. Step 5: Solve for x
    x = 95,363,838,597,734,784/148,269,130.31
  6. Step 6: Final answer
    x = 643,180,670.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.