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Finding the Third Proportional to 71,700,998 and 157,334,284

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Solution

The third proportional to 71,700,998 and 157,334,284 is: 345,240,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,700,998 : 157,334,284 = 157,334,284 : x
  2. Step 2: Convert to fraction form
    71,700,998/157,334,284 = 157,334,284/x
  3. Step 3: Cross multiply
    71,700,998x = 157,334,284 × 157,334,284
  4. Step 4: Simplify right side
    71,700,998x = 24,754,076,921,792,656
  5. Step 5: Solve for x
    x = 24,754,076,921,792,656/71,700,998
  6. Step 6: Final answer
    x = 345,240,339.92

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Why These Related Problems?

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