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Finding the Third Proportional to 105,898,271.06 and 228,812,561.44

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Solution

The third proportional to 105,898,271.06 and 228,812,561.44 is: 494,391,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,898,271.06 : 228,812,561.44 = 228,812,561.44 : x
  2. Step 2: Convert to fraction form
    105,898,271.06/228,812,561.44 = 228,812,561.44/x
  3. Step 3: Cross multiply
    105,898,271.06x = 228,812,561.44 × 228,812,561.44
  4. Step 4: Simplify right side
    105,898,271.06x = 52,355,188,271,589,712
  5. Step 5: Solve for x
    x = 52,355,188,271,589,712/105,898,271.06
  6. Step 6: Final answer
    x = 494,391,341.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.