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Finding the Third Proportional to 65,849,904 and 141,813,776

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Solution

The third proportional to 65,849,904 and 141,813,776 is: 305,408,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,849,904 : 141,813,776 = 141,813,776 : x
  2. Step 2: Convert to fraction form
    65,849,904/141,813,776 = 141,813,776/x
  3. Step 3: Cross multiply
    65,849,904x = 141,813,776 × 141,813,776
  4. Step 4: Simplify right side
    65,849,904x = 20,111,147,063,378,176
  5. Step 5: Solve for x
    x = 20,111,147,063,378,176/65,849,904
  6. Step 6: Final answer
    x = 305,408,904.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.