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Finding the Third Proportional to 105,862,931.02 and 229,313,237.63

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Solution

The third proportional to 105,862,931.02 and 229,313,237.63 is: 496,723,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,862,931.02 : 229,313,237.63 = 229,313,237.63 : x
  2. Step 2: Convert to fraction form
    105,862,931.02/229,313,237.63 = 229,313,237.63/x
  3. Step 3: Cross multiply
    105,862,931.02x = 229,313,237.63 × 229,313,237.63
  4. Step 4: Simplify right side
    105,862,931.02x = 52,584,560,950,059,712
  5. Step 5: Solve for x
    x = 52,584,560,950,059,712/105,862,931.02
  6. Step 6: Final answer
    x = 496,723,078.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.