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Finding the Third Proportional to 109,710,416.25 and 235,931,872.50

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Solution

The third proportional to 109,710,416.25 and 235,931,872.50 is: 507,370,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,710,416.25 : 235,931,872.50 = 235,931,872.50 : x
  2. Step 2: Convert to fraction form
    109,710,416.25/235,931,872.50 = 235,931,872.50/x
  3. Step 3: Cross multiply
    109,710,416.25x = 235,931,872.50 × 235,931,872.50
  4. Step 4: Simplify right side
    109,710,416.25x = 55,663,848,461,356,256
  5. Step 5: Solve for x
    x = 55,663,848,461,356,256/109,710,416.25
  6. Step 6: Final answer
    x = 507,370,679.69

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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.