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Finding the Third Proportional to 68,082,353,970 and 148,989,931,035

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Solution

The third proportional to 68,082,353,970 and 148,989,931,035 is: 326,046,299,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082,353,970 : 148,989,931,035 = 148,989,931,035 : x
  2. Step 2: Convert to fraction form
    68,082,353,970/148,989,931,035 = 148,989,931,035/x
  3. Step 3: Cross multiply
    68,082,353,970x = 148,989,931,035 × 148,989,931,035
  4. Step 4: Simplify right side
    68,082,353,970x = 22,197,999,549,814,054,846,464
  5. Step 5: Solve for x
    x = 22,197,999,549,814,054,846,464/68,082,353,970
  6. Step 6: Final answer
    x = 326,046,299,156.98

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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.