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Finding the Third Proportional to 105,475,108.50 and 231,371,946

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Solution

The third proportional to 105,475,108.50 and 231,371,946 is: 507,541,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,475,108.50 : 231,371,946 = 231,371,946 : x
  2. Step 2: Convert to fraction form
    105,475,108.50/231,371,946 = 231,371,946/x
  3. Step 3: Cross multiply
    105,475,108.50x = 231,371,946 × 231,371,946
  4. Step 4: Simplify right side
    105,475,108.50x = 53,532,977,395,826,912
  5. Step 5: Solve for x
    x = 53,532,977,395,826,912/105,475,108.50
  6. Step 6: Final answer
    x = 507,541,335.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.