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Finding the Third Proportional to 102,194,417.25 and 221,638,522.50

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Solution

The third proportional to 102,194,417.25 and 221,638,522.50 is: 480,688,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,194,417.25 : 221,638,522.50 = 221,638,522.50 : x
  2. Step 2: Convert to fraction form
    102,194,417.25/221,638,522.50 = 221,638,522.50/x
  3. Step 3: Cross multiply
    102,194,417.25x = 221,638,522.50 × 221,638,522.50
  4. Step 4: Simplify right side
    102,194,417.25x = 49,123,634,655,983,008
  5. Step 5: Solve for x
    x = 49,123,634,655,983,008/102,194,417.25
  6. Step 6: Final answer
    x = 480,688,045.18

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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.