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Finding the Third Proportional to 49,464,302.06 and 105,721,314.94

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Solution

The third proportional to 49,464,302.06 and 105,721,314.94 is: 225,960,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464,302.06 : 105,721,314.94 = 105,721,314.94 : x
  2. Step 2: Convert to fraction form
    49,464,302.06/105,721,314.94 = 105,721,314.94/x
  3. Step 3: Cross multiply
    49,464,302.06x = 105,721,314.94 × 105,721,314.94
  4. Step 4: Simplify right side
    49,464,302.06x = 11,176,996,432,114,060
  5. Step 5: Solve for x
    x = 11,176,996,432,114,060/49,464,302.06
  6. Step 6: Final answer
    x = 225,960,864.02

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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.