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Finding the Third Proportional to 152,520,365 and 214,782,283.25

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Solution

The third proportional to 152,520,365 and 214,782,283.25 is: 302,460,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,520,365 : 214,782,283.25 = 214,782,283.25 : x
  2. Step 2: Convert to fraction form
    152,520,365/214,782,283.25 = 214,782,283.25/x
  3. Step 3: Cross multiply
    152,520,365x = 214,782,283.25 × 214,782,283.25
  4. Step 4: Simplify right side
    152,520,365x = 46,131,429,198,083,232
  5. Step 5: Solve for x
    x = 46,131,429,198,083,232/152,520,365
  6. Step 6: Final answer
    x = 302,460,784.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.