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Finding the Third Proportional to 145,138,468,608 and 227,181,344,030

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Solution

The third proportional to 145,138,468,608 and 227,181,344,030 is: 355,600,851,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138,468,608 : 227,181,344,030 = 227,181,344,030 : x
  2. Step 2: Convert to fraction form
    145,138,468,608/227,181,344,030 = 227,181,344,030/x
  3. Step 3: Cross multiply
    145,138,468,608x = 227,181,344,030 × 227,181,344,030
  4. Step 4: Simplify right side
    145,138,468,608x = 51,611,363,075,277,220,478,976
  5. Step 5: Solve for x
    x = 51,611,363,075,277,220,478,976/145,138,468,608
  6. Step 6: Final answer
    x = 355,600,851,864.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.