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Finding the Third Proportional to 145,020,142 and 230,010,942

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Solution

The third proportional to 145,020,142 and 230,010,942 is: 364,811,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,020,142 : 230,010,942 = 230,010,942 : x
  2. Step 2: Convert to fraction form
    145,020,142/230,010,942 = 230,010,942/x
  3. Step 3: Cross multiply
    145,020,142x = 230,010,942 × 230,010,942
  4. Step 4: Simplify right side
    145,020,142x = 52,905,033,439,727,360
  5. Step 5: Solve for x
    x = 52,905,033,439,727,360/145,020,142
  6. Step 6: Final answer
    x = 364,811,623.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.