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Finding the Third Proportional to 74,345,154.22 and 154,799,966.32

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Solution

The third proportional to 74,345,154.22 and 154,799,966.32 is: 322,321,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,345,154.22 : 154,799,966.32 = 154,799,966.32 : x
  2. Step 2: Convert to fraction form
    74,345,154.22/154,799,966.32 = 154,799,966.32/x
  3. Step 3: Cross multiply
    74,345,154.22x = 154,799,966.32 × 154,799,966.32
  4. Step 4: Simplify right side
    74,345,154.22x = 23,963,029,572,772,208
  5. Step 5: Solve for x
    x = 23,963,029,572,772,208/74,345,154.22
  6. Step 6: Final answer
    x = 322,321,337.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.