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Finding the Third Proportional to 145,041,840 and 224,915,454

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Solution

The third proportional to 145,041,840 and 224,915,454 is: 348,774,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,041,840 : 224,915,454 = 224,915,454 : x
  2. Step 2: Convert to fraction form
    145,041,840/224,915,454 = 224,915,454/x
  3. Step 3: Cross multiply
    145,041,840x = 224,915,454 × 224,915,454
  4. Step 4: Simplify right side
    145,041,840x = 50,586,961,448,026,112
  5. Step 5: Solve for x
    x = 50,586,961,448,026,112/145,041,840
  6. Step 6: Final answer
    x = 348,774,956.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.