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Finding the Third Proportional to 105,892,726,088.53 and 226,892,439,875.52

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Solution

The third proportional to 105,892,726,088.53 and 226,892,439,875.52 is: 486,154,065,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,726,088.53 : 226,892,439,875.52 = 226,892,439,875.52 : x
  2. Step 2: Convert to fraction form
    105,892,726,088.53/226,892,439,875.52 = 226,892,439,875.52/x
  3. Step 3: Cross multiply
    105,892,726,088.53x = 226,892,439,875.52 × 226,892,439,875.52
  4. Step 4: Simplify right side
    105,892,726,088.53x = 51,480,179,272,666,457,309,184
  5. Step 5: Solve for x
    x = 51,480,179,272,666,457,309,184/105,892,726,088.53
  6. Step 6: Final answer
    x = 486,154,065,290.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.