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Finding the Third Proportional to 134,604,008,025 and 290,699,684,871

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Solution

The third proportional to 134,604,008,025 and 290,699,684,871 is: 627,814,193,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,604,008,025 : 290,699,684,871 = 290,699,684,871 : x
  2. Step 2: Convert to fraction form
    134,604,008,025/290,699,684,871 = 290,699,684,871/x
  3. Step 3: Cross multiply
    134,604,008,025x = 290,699,684,871 × 290,699,684,871
  4. Step 4: Simplify right side
    134,604,008,025x = 84,506,306,784,098,701,541,376
  5. Step 5: Solve for x
    x = 84,506,306,784,098,701,541,376/134,604,008,025
  6. Step 6: Final answer
    x = 627,814,193,827.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.