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Finding the Third Proportional to 53,440,830 and 88,437,946.50

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Solution

The third proportional to 53,440,830 and 88,437,946.50 is: 146,353,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,440,830 : 88,437,946.50 = 88,437,946.50 : x
  2. Step 2: Convert to fraction form
    53,440,830/88,437,946.50 = 88,437,946.50/x
  3. Step 3: Cross multiply
    53,440,830x = 88,437,946.50 × 88,437,946.50
  4. Step 4: Simplify right side
    53,440,830x = 7,821,270,381,136,862
  5. Step 5: Solve for x
    x = 7,821,270,381,136,862/53,440,830
  6. Step 6: Final answer
    x = 146,353,834.35

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.