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Finding the Third Proportional to 152,074,499 and 312,210,916

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Solution

The third proportional to 152,074,499 and 312,210,916 is: 640,973,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,499 : 312,210,916 = 312,210,916 : x
  2. Step 2: Convert to fraction form
    152,074,499/312,210,916 = 312,210,916/x
  3. Step 3: Cross multiply
    152,074,499x = 312,210,916 × 312,210,916
  4. Step 4: Simplify right side
    152,074,499x = 97,475,656,069,559,056
  5. Step 5: Solve for x
    x = 97,475,656,069,559,056/152,074,499
  6. Step 6: Final answer
    x = 640,973,054.07

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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.