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Finding the Third Proportional to 105,408,094.50 and 157,492,126.50

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Solution

The third proportional to 105,408,094.50 and 157,492,126.50 is: 235,311,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408,094.50 : 157,492,126.50 = 157,492,126.50 : x
  2. Step 2: Convert to fraction form
    105,408,094.50/157,492,126.50 = 157,492,126.50/x
  3. Step 3: Cross multiply
    105,408,094.50x = 157,492,126.50 × 157,492,126.50
  4. Step 4: Simplify right side
    105,408,094.50x = 24,803,769,909,492,004
  5. Step 5: Solve for x
    x = 24,803,769,909,492,004/105,408,094.50
  6. Step 6: Final answer
    x = 235,311,813.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.