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Finding the Third Proportional to 102,098,440 and 154,363,294.50

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Solution

The third proportional to 102,098,440 and 154,363,294.50 is: 233,382,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098,440 : 154,363,294.50 = 154,363,294.50 : x
  2. Step 2: Convert to fraction form
    102,098,440/154,363,294.50 = 154,363,294.50/x
  3. Step 3: Cross multiply
    102,098,440x = 154,363,294.50 × 154,363,294.50
  4. Step 4: Simplify right side
    102,098,440x = 23,828,026,688,893,732
  5. Step 5: Solve for x
    x = 23,828,026,688,893,732/102,098,440
  6. Step 6: Final answer
    x = 233,382,867.45

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Why These Related Problems?

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