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Finding the Third Proportional to 152,074,501 and 312,210,920

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Solution

The third proportional to 152,074,501 and 312,210,920 is: 640,973,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,501 : 312,210,920 = 312,210,920 : x
  2. Step 2: Convert to fraction form
    152,074,501/312,210,920 = 312,210,920/x
  3. Step 3: Cross multiply
    152,074,501x = 312,210,920 × 312,210,920
  4. Step 4: Simplify right side
    152,074,501x = 97,475,658,567,246,400
  5. Step 5: Solve for x
    x = 97,475,658,567,246,400/152,074,501
  6. Step 6: Final answer
    x = 640,973,062.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.