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Finding the Third Proportional to 88,032,784 and 193,071,712

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Solution

The third proportional to 88,032,784 and 193,071,712 is: 423,440,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032,784 : 193,071,712 = 193,071,712 : x
  2. Step 2: Convert to fraction form
    88,032,784/193,071,712 = 193,071,712/x
  3. Step 3: Cross multiply
    88,032,784x = 193,071,712 × 193,071,712
  4. Step 4: Simplify right side
    88,032,784x = 37,276,685,974,610,944
  5. Step 5: Solve for x
    x = 37,276,685,974,610,944/88,032,784
  6. Step 6: Final answer
    x = 423,440,953.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.