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Finding the Third Proportional to 102,343,128 and 221,692,368

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Solution

The third proportional to 102,343,128 and 221,692,368 is: 480,222,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,343,128 : 221,692,368 = 221,692,368 : x
  2. Step 2: Convert to fraction form
    102,343,128/221,692,368 = 221,692,368/x
  3. Step 3: Cross multiply
    102,343,128x = 221,692,368 × 221,692,368
  4. Step 4: Simplify right side
    102,343,128x = 49,147,506,029,447,424
  5. Step 5: Solve for x
    x = 49,147,506,029,447,424/102,343,128
  6. Step 6: Final answer
    x = 480,222,824.82

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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.