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Finding the Third Proportional to 102,098,439 and 154,363,293

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Solution

The third proportional to 102,098,439 and 154,363,293 is: 233,382,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098,439 : 154,363,293 = 154,363,293 : x
  2. Step 2: Convert to fraction form
    102,098,439/154,363,293 = 154,363,293/x
  3. Step 3: Cross multiply
    102,098,439x = 154,363,293 × 154,363,293
  4. Step 4: Simplify right side
    102,098,439x = 23,828,026,225,803,848
  5. Step 5: Solve for x
    x = 23,828,026,225,803,848/102,098,439
  6. Step 6: Final answer
    x = 233,382,865.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.