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Finding the Third Proportional to 67,896,840 and 138,931,298

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Solution

The third proportional to 67,896,840 and 138,931,298 is: 284,282,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896,840 : 138,931,298 = 138,931,298 : x
  2. Step 2: Convert to fraction form
    67,896,840/138,931,298 = 138,931,298/x
  3. Step 3: Cross multiply
    67,896,840x = 138,931,298 × 138,931,298
  4. Step 4: Simplify right side
    67,896,840x = 19,301,905,563,964,804
  5. Step 5: Solve for x
    x = 19,301,905,563,964,804/67,896,840
  6. Step 6: Final answer
    x = 284,282,826.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.