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Finding the Third Proportional to 65,273,310 and 142,076,448

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Solution

The third proportional to 65,273,310 and 142,076,448 is: 309,249,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,273,310 : 142,076,448 = 142,076,448 : x
  2. Step 2: Convert to fraction form
    65,273,310/142,076,448 = 142,076,448/x
  3. Step 3: Cross multiply
    65,273,310x = 142,076,448 × 142,076,448
  4. Step 4: Simplify right side
    65,273,310x = 20,185,717,076,296,704
  5. Step 5: Solve for x
    x = 20,185,717,076,296,704/65,273,310
  6. Step 6: Final answer
    x = 309,249,172.08

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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.