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Finding the Third Proportional to 106,483,428 and 229,107,240

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Solution

The third proportional to 106,483,428 and 229,107,240 is: 492,941,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,483,428 : 229,107,240 = 229,107,240 : x
  2. Step 2: Convert to fraction form
    106,483,428/229,107,240 = 229,107,240/x
  3. Step 3: Cross multiply
    106,483,428x = 229,107,240 × 229,107,240
  4. Step 4: Simplify right side
    106,483,428x = 52,490,127,420,417,600
  5. Step 5: Solve for x
    x = 52,490,127,420,417,600/106,483,428
  6. Step 6: Final answer
    x = 492,941,750.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.