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Finding the Third Proportional to 67,350,931.50 and 98,506,972.50

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Solution

The third proportional to 67,350,931.50 and 98,506,972.50 is: 144,075,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,350,931.50 : 98,506,972.50 = 98,506,972.50 : x
  2. Step 2: Convert to fraction form
    67,350,931.50/98,506,972.50 = 98,506,972.50/x
  3. Step 3: Cross multiply
    67,350,931.50x = 98,506,972.50 × 98,506,972.50
  4. Step 4: Simplify right side
    67,350,931.50x = 9,703,623,631,115,756
  5. Step 5: Solve for x
    x = 9,703,623,631,115,756/67,350,931.50
  6. Step 6: Final answer
    x = 144,075,566.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.