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Finding the Third Proportional to 123,210,688 and 189,400,352

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Solution

The third proportional to 123,210,688 and 189,400,352 is: 291,147,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,210,688 : 189,400,352 = 189,400,352 : x
  2. Step 2: Convert to fraction form
    123,210,688/189,400,352 = 189,400,352/x
  3. Step 3: Cross multiply
    123,210,688x = 189,400,352 × 189,400,352
  4. Step 4: Simplify right side
    123,210,688x = 35,872,493,337,723,904
  5. Step 5: Solve for x
    x = 35,872,493,337,723,904/123,210,688
  6. Step 6: Final answer
    x = 291,147,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.