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Finding the Third Proportional to 105,539,964 and 161,448,648

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Solution

The third proportional to 105,539,964 and 161,448,648 is: 246,974,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539,964 : 161,448,648 = 161,448,648 : x
  2. Step 2: Convert to fraction form
    105,539,964/161,448,648 = 161,448,648/x
  3. Step 3: Cross multiply
    105,539,964x = 161,448,648 × 161,448,648
  4. Step 4: Simplify right side
    105,539,964x = 26,065,665,941,027,904
  5. Step 5: Solve for x
    x = 26,065,665,941,027,904/105,539,964
  6. Step 6: Final answer
    x = 246,974,368.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.