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Finding the Third Proportional to 65,273,314 and 142,076,456

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Solution

The third proportional to 65,273,314 and 142,076,456 is: 309,249,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273,314 : 142,076,456 = 142,076,456 : x
  2. Step 2: Convert to fraction form
    65,273,314/142,076,456 = 142,076,456/x
  3. Step 3: Cross multiply
    65,273,314x = 142,076,456 × 142,076,456
  4. Step 4: Simplify right side
    65,273,314x = 20,185,719,349,519,936
  5. Step 5: Solve for x
    x = 20,185,719,349,519,936/65,273,314
  6. Step 6: Final answer
    x = 309,249,187.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.