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Finding the Third Proportional to 145,542,216 and 318,430,896

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Solution

The third proportional to 145,542,216 and 318,430,896 is: 696,692,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542,216 : 318,430,896 = 318,430,896 : x
  2. Step 2: Convert to fraction form
    145,542,216/318,430,896 = 318,430,896/x
  3. Step 3: Cross multiply
    145,542,216x = 318,430,896 × 318,430,896
  4. Step 4: Simplify right side
    145,542,216x = 101,398,235,527,362,816
  5. Step 5: Solve for x
    x = 101,398,235,527,362,816/145,542,216
  6. Step 6: Final answer
    x = 696,692,948.03

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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.