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Finding the Third Proportional to 152,074,500 and 312,210,931

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Solution

The third proportional to 152,074,500 and 312,210,931 is: 640,973,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,500 : 312,210,931 = 312,210,931 : x
  2. Step 2: Convert to fraction form
    152,074,500/312,210,931 = 312,210,931/x
  3. Step 3: Cross multiply
    152,074,500x = 312,210,931 × 312,210,931
  4. Step 4: Simplify right side
    152,074,500x = 97,475,665,435,886,768
  5. Step 5: Solve for x
    x = 97,475,665,435,886,768/152,074,500
  6. Step 6: Final answer
    x = 640,973,111.44

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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.