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Finding the Third Proportional to 77,652,639 and 123,620,486.25

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Solution

The third proportional to 77,652,639 and 123,620,486.25 is: 196,799,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652,639 : 123,620,486.25 = 123,620,486.25 : x
  2. Step 2: Convert to fraction form
    77,652,639/123,620,486.25 = 123,620,486.25/x
  3. Step 3: Cross multiply
    77,652,639x = 123,620,486.25 × 123,620,486.25
  4. Step 4: Simplify right side
    77,652,639x = 15,282,024,620,686,440
  5. Step 5: Solve for x
    x = 15,282,024,620,686,440/77,652,639
  6. Step 6: Final answer
    x = 196,799,810.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.