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Finding the Third Proportional to 133,089,517,814 and 295,935,952,490

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Solution

The third proportional to 133,089,517,814 and 295,935,952,490 is: 658,038,960,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089,517,814 : 295,935,952,490 = 295,935,952,490 : x
  2. Step 2: Convert to fraction form
    133,089,517,814/295,935,952,490 = 295,935,952,490/x
  3. Step 3: Cross multiply
    133,089,517,814x = 295,935,952,490 × 295,935,952,490
  4. Step 4: Simplify right side
    133,089,517,814x = 87,578,087,976,163,528,933,376
  5. Step 5: Solve for x
    x = 87,578,087,976,163,528,933,376/133,089,517,814
  6. Step 6: Final answer
    x = 658,038,960,653.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.