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Finding the Third Proportional to 47,804,281 and 105,657,154

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Solution

The third proportional to 47,804,281 and 105,657,154 is: 233,523,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804,281 : 105,657,154 = 105,657,154 : x
  2. Step 2: Convert to fraction form
    47,804,281/105,657,154 = 105,657,154/x
  3. Step 3: Cross multiply
    47,804,281x = 105,657,154 × 105,657,154
  4. Step 4: Simplify right side
    47,804,281x = 11,163,434,191,379,716
  5. Step 5: Solve for x
    x = 11,163,434,191,379,716/47,804,281
  6. Step 6: Final answer
    x = 233,523,733.81

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.