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Finding the Third Proportional to 47,804,282 and 105,657,158

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Solution

The third proportional to 47,804,282 and 105,657,158 is: 233,523,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804,282 : 105,657,158 = 105,657,158 : x
  2. Step 2: Convert to fraction form
    47,804,282/105,657,158 = 105,657,158/x
  3. Step 3: Cross multiply
    47,804,282x = 105,657,158 × 105,657,158
  4. Step 4: Simplify right side
    47,804,282x = 11,163,435,036,636,964
  5. Step 5: Solve for x
    x = 11,163,435,036,636,964/47,804,282
  6. Step 6: Final answer
    x = 233,523,746.61

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Why These Related Problems?

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