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Finding the Third Proportional to 100,643,157 and 220,129,506

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Solution

The third proportional to 100,643,157 and 220,129,506 is: 481,473,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643,157 : 220,129,506 = 220,129,506 : x
  2. Step 2: Convert to fraction form
    100,643,157/220,129,506 = 220,129,506/x
  3. Step 3: Cross multiply
    100,643,157x = 220,129,506 × 220,129,506
  4. Step 4: Simplify right side
    100,643,157x = 48,456,999,411,804,032
  5. Step 5: Solve for x
    x = 48,456,999,411,804,032/100,643,157
  6. Step 6: Final answer
    x = 481,473,364.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.