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Finding the Third Proportional to 608,231,619.84 and 942,230,647.13

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Solution

The third proportional to 608,231,619.84 and 942,230,647.13 is: 1,459,638,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,231,619.84 : 942,230,647.13 = 942,230,647.13 : x
  2. Step 2: Convert to fraction form
    608,231,619.84/942,230,647.13 = 942,230,647.13/x
  3. Step 3: Cross multiply
    608,231,619.84x = 942,230,647.13 × 942,230,647.13
  4. Step 4: Simplify right side
    608,231,619.84x = 887,798,592,381,596,288
  5. Step 5: Solve for x
    x = 887,798,592,381,596,288/608,231,619.84
  6. Step 6: Final answer
    x = 1,459,638,998.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.