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Finding the Third Proportional to 46,945,021.50 and 100,831,574.25

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Solution

The third proportional to 46,945,021.50 and 100,831,574.25 is: 216,572,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945,021.50 : 100,831,574.25 = 100,831,574.25 : x
  2. Step 2: Convert to fraction form
    46,945,021.50/100,831,574.25 = 100,831,574.25/x
  3. Step 3: Cross multiply
    46,945,021.50x = 100,831,574.25 × 100,831,574.25
  4. Step 4: Simplify right side
    46,945,021.50x = 10,167,006,365,733,264
  5. Step 5: Solve for x
    x = 10,167,006,365,733,264/46,945,021.50
  6. Step 6: Final answer
    x = 216,572,621.35

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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.