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Finding the Third Proportional to 145,357,582 and 223,424,980

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Solution

The third proportional to 145,357,582 and 223,424,980 is: 343,420,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,357,582 : 223,424,980 = 223,424,980 : x
  2. Step 2: Convert to fraction form
    145,357,582/223,424,980 = 223,424,980/x
  3. Step 3: Cross multiply
    145,357,582x = 223,424,980 × 223,424,980
  4. Step 4: Simplify right side
    145,357,582x = 49,918,721,688,000,400
  5. Step 5: Solve for x
    x = 49,918,721,688,000,400/145,357,582
  6. Step 6: Final answer
    x = 343,420,143.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.