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Finding the Third Proportional to 103,537,509 and 164,828,124

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Solution

The third proportional to 103,537,509 and 164,828,124 is: 262,400,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,537,509 : 164,828,124 = 164,828,124 : x
  2. Step 2: Convert to fraction form
    103,537,509/164,828,124 = 164,828,124/x
  3. Step 3: Cross multiply
    103,537,509x = 164,828,124 × 164,828,124
  4. Step 4: Simplify right side
    103,537,509x = 27,168,310,461,359,376
  5. Step 5: Solve for x
    x = 27,168,310,461,359,376/103,537,509
  6. Step 6: Final answer
    x = 262,400,657.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.