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Finding the Third Proportional to 64,650,312 and 96,880,423.50

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Solution

The third proportional to 64,650,312 and 96,880,423.50 is: 145,178,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,650,312 : 96,880,423.50 = 96,880,423.50 : x
  2. Step 2: Convert to fraction form
    64,650,312/96,880,423.50 = 96,880,423.50/x
  3. Step 3: Cross multiply
    64,650,312x = 96,880,423.50 × 96,880,423.50
  4. Step 4: Simplify right side
    64,650,312x = 9,385,816,457,539,352
  5. Step 5: Solve for x
    x = 9,385,816,457,539,352/64,650,312
  6. Step 6: Final answer
    x = 145,178,208.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.