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Finding the Third Proportional to 145,041,842 and 224,915,457

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Solution

The third proportional to 145,041,842 and 224,915,457 is: 348,774,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,041,842 : 224,915,457 = 224,915,457 : x
  2. Step 2: Convert to fraction form
    145,041,842/224,915,457 = 224,915,457/x
  3. Step 3: Cross multiply
    145,041,842x = 224,915,457 × 224,915,457
  4. Step 4: Simplify right side
    145,041,842x = 50,586,962,797,518,848
  5. Step 5: Solve for x
    x = 50,586,962,797,518,848/145,041,842
  6. Step 6: Final answer
    x = 348,774,961.07

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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.