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Finding the Third Proportional to 49,563,160.50 and 107,362,185

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Solution

The third proportional to 49,563,160.50 and 107,362,185 is: 232,564,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,160.50 : 107,362,185 = 107,362,185 : x
  2. Step 2: Convert to fraction form
    49,563,160.50/107,362,185 = 107,362,185/x
  3. Step 3: Cross multiply
    49,563,160.50x = 107,362,185 × 107,362,185
  4. Step 4: Simplify right side
    49,563,160.50x = 11,526,638,767,974,224
  5. Step 5: Solve for x
    x = 11,526,638,767,974,224/49,563,160.50
  6. Step 6: Final answer
    x = 232,564,643.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.