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Finding the Third Proportional to 96,097,988 and 148,924,605

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Solution

The third proportional to 96,097,988 and 148,924,605 is: 230,790,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,097,988 : 148,924,605 = 148,924,605 : x
  2. Step 2: Convert to fraction form
    96,097,988/148,924,605 = 148,924,605/x
  3. Step 3: Cross multiply
    96,097,988x = 148,924,605 × 148,924,605
  4. Step 4: Simplify right side
    96,097,988x = 22,178,537,974,406,024
  5. Step 5: Solve for x
    x = 22,178,537,974,406,024/96,097,988
  6. Step 6: Final answer
    x = 230,790,867.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.