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Finding the Third Proportional to 144,350,580 and 340,641,534

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Solution

The third proportional to 144,350,580 and 340,641,534 is: 803,853,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,350,580 : 340,641,534 = 340,641,534 : x
  2. Step 2: Convert to fraction form
    144,350,580/340,641,534 = 340,641,534/x
  3. Step 3: Cross multiply
    144,350,580x = 340,641,534 × 340,641,534
  4. Step 4: Simplify right side
    144,350,580x = 116,036,654,685,873,152
  5. Step 5: Solve for x
    x = 116,036,654,685,873,152/144,350,580
  6. Step 6: Final answer
    x = 803,853,054.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.