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Finding the Third Proportional to 97,776,648 and 146,676,646.50

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Solution

The third proportional to 97,776,648 and 146,676,646.50 is: 220,032,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776,648 : 146,676,646.50 = 146,676,646.50 : x
  2. Step 2: Convert to fraction form
    97,776,648/146,676,646.50 = 146,676,646.50/x
  3. Step 3: Cross multiply
    97,776,648x = 146,676,646.50 × 146,676,646.50
  4. Step 4: Simplify right side
    97,776,648x = 21,514,038,628,485,964
  5. Step 5: Solve for x
    x = 21,514,038,628,485,964/97,776,648
  6. Step 6: Final answer
    x = 220,032,482.89

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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.