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Finding the Third Proportional to 53,230,664 and 108,390,784

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Solution

The third proportional to 53,230,664 and 108,390,784 is: 220,710,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,230,664 : 108,390,784 = 108,390,784 : x
  2. Step 2: Convert to fraction form
    53,230,664/108,390,784 = 108,390,784/x
  3. Step 3: Cross multiply
    53,230,664x = 108,390,784 × 108,390,784
  4. Step 4: Simplify right side
    53,230,664x = 11,748,562,056,134,656
  5. Step 5: Solve for x
    x = 11,748,562,056,134,656/53,230,664
  6. Step 6: Final answer
    x = 220,710,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.