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Finding the Third Proportional to 49,598,454 and 105,097,164

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Solution

The third proportional to 49,598,454 and 105,097,164 is: 222,696,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598,454 : 105,097,164 = 105,097,164 : x
  2. Step 2: Convert to fraction form
    49,598,454/105,097,164 = 105,097,164/x
  3. Step 3: Cross multiply
    49,598,454x = 105,097,164 × 105,097,164
  4. Step 4: Simplify right side
    49,598,454x = 11,045,413,880,842,896
  5. Step 5: Solve for x
    x = 11,045,413,880,842,896/49,598,454
  6. Step 6: Final answer
    x = 222,696,737.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.