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Finding the Third Proportional to 45,428.34 and 97,799.91

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Solution

The third proportional to 45,428.34 and 97,799.91 is: 210,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,428.34 : 97,799.91 = 97,799.91 : x
  2. Step 2: Convert to fraction form
    45,428.34/97,799.91 = 97,799.91/x
  3. Step 3: Cross multiply
    45,428.34x = 97,799.91 × 97,799.91
  4. Step 4: Simplify right side
    45,428.34x = 9,564,821,662.51
  5. Step 5: Solve for x
    x = 9,564,821,662.51/45,428.34
  6. Step 6: Final answer
    x = 210,547.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.